Answer:
A. a = √2
b = √2
Step-by-step explanation:
Apply trigonometric function to find a and b:
Reference angle = 45°
Hypotenuse = 2
Opposite side = a
Adjacent side = b
✔️Apply SOH to find a, which is:
Sin 45 = Opp/Hyp
Sin 45 = a/2
2*Sin 45 = a
2*1/√2 = a (sin 45 = 1√2)
2/√2 = a
Rationalize
(2*√2)/(√2*√2) = a
2√2/2 = a
√2 = a
a = √2
✔️Apply CAH to find b, which is:
Cos 45 = Adjacent/Hypotenuse
Cos 45 = b/2
2*Cos 45 = b
2*1/√2 = b (Cos 45 = 1√2)
2/√2 = b
Rationalize
2√2/2 = b
√2 = b
b = √2
if you don't have a Unit Circle yet, this is a good time to get one, you can find many online, check maybe in yahoo images, or google images.
Check the picture below.
notice the section encircled in purple.
Answer:
<h2>a. LM</h2><h2>b.
E</h2><h2>
c. No.</h2>
Step-by-step explanation:
a.
Two planes intersect in a line.
Here the intersecting line of the plane JKL and HGL is the line LM.
b.
As shown in the figure, the point which is coplanar to the points F, K and J is E.
c.
As per the given figure E, J and G are not in the same plane.
E and J can be lie in the same plane either EJK or EJN.
But point G is in EFG/ FGL/HGL.
Hence all the three points are not coplanar.
Answer:
x = 3
Explanation:
To simplify this equation, don't worry about the -3, since there is one on both sides. Therefore, they cancel out.
So, 9 + x = 4x
When you plug 3 in for x, it becomes:
9 + 3 = 4 x 3
12 = 12
This equation is true, therefore, x is your answer!
X= -1/3 or as an alternative form x=-0.3 and x=-3 exponent minus 1